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Perpendicular Lines by Jeff Caldwell

Perpendicular Lines by Jeff Caldwell
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2017-09-10 07:56
AngleCoordinate GeometryGeometric Construction
This example demonstrates perpendicular lines in the coordinate plane. It covers the basic properties and construction methods of perpendicular lines. Using GeoGebra commands such as Line, Intersect, and OrthogonalLine, one can visually understand the concept of perpendicular lines. Suitable for students at the junior high school level and above, focusing on coordinate geometry.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Intersect(g_2, h) → C
  3. Polygon(A, C, B) → poly1, b, a, c
  4. Segment(A, C) → i
  5. Segment(C, B) → j
  6. Angle(B, C, A) → α
  7. Slope(f) → d_1
  8. FractionText(d_1) → text1
  9. Denominator(d_1) → d
  10. Numerator(d_1) → n
  11. OrthogonalLine(D, f) → g
  12. Intersect(l, m) → F
  13. Polygon(D, F, E) → poly2, e, d_2, f_1
  14. Polygon(H, G, A) → poly3, a_1, h_1, g_1
  15. Segment(H, G) → p
  16. Segment(G, A) → q
  17. Segment(D, F) → r
  18. Segment(F, E) → s
  19. Angle(H, G, A) → β
  20. Angle(E, F, D) → γ
  21. Intersect(f, g) → I
  22. Angle(B, I, D) → δ
  23. FractionText(Slope[g]) → text2
  24. Distance(D, I) → distanceDI
  25. Distance(D, E) → distanceDE
  26. Distance(A, B) → distanceAB

AI Drawing Prompt Reference

Draw two perpendicular lines, first create line AB, then create a line CD perpendicular to AB, next draw triangle ABC, then draw a line EF perpendicular to AB, and finally draw triangle DEF, ensuring all segments and angles are perpendicular to each other.
The prompt above was compiled from the original drawing commands and is for reference only.